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Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Select the correct answer Which sum or difference is modeled by the algebra tiles A x2 2x 3 x2 2x 1 2x2 2 B x2 2x 3 x2 2x 1 2x2 2 C x2 2x 3 x2 2x 1 2x2 2 D x2 2 class=

Respuesta :

nonsibi

The only answer choice that produces -2x²+2 is D.

Because (-x²+2x+3)+(-x²-2x-1) = -x²+2x+3-x²-2x-1 = -2x²+2

answer: D

MrRoyal

The algebraic sum modelled by the tiles is (d)[tex](-x^2 + 2x + 3) + (-x^2 - 2x - 1) = -2x2 + 2[/tex]

From the figure, we have the result of the algebraic tiles to be:

[tex]-x^2 - x^2 + 1 + 1[/tex]

This gives

[tex]-2x^2 + 2[/tex]

Next, we test the options (A) through (D)

Option A

[tex](-x^2 + 2x + 3) - (x^2 - 2x - 1) = -2x^2 + 2[/tex]

Open the brackets

[tex]-x^2 + 2x + 3 - x^2 + 2x + 1 = -2x^2 + 2[/tex]

Evaluate the like terms

[tex]-2x^2 + 4x + 4 \ne -2x^2 + 2[/tex]

When the same is applied to the remaining options, we have:

Option B.

[tex](-x^2 + 2x + 3) - (-x^2 + 2x + 1) \ne -2x^2 + 2[/tex]

Option C

[tex](-x^2 + 2x + 3) + (-x^2 + 2x + 1) = -2x^2 + 2[/tex]

Option D

[tex](-x^2 + 2x + 3) + (-x^2 - 2x - 1) = -2x2 + 2[/tex]

Hence, the algebraic sum modelled by the tiles is (d) [tex](-x^2 + 2x + 3) + (-x^2 - 2x - 1) = -2x2 + 2[/tex]

Read more about algebraic tiles at:

https://brainly.com/question/26409801

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